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Finding the Third Proportional to 136,374,536.25 and 207,966,655.69

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Solution

The third proportional to 136,374,536.25 and 207,966,655.69 is: 317,142,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,374,536.25 : 207,966,655.69 = 207,966,655.69 : x
  2. Step 2: Convert to fraction form
    136,374,536.25/207,966,655.69 = 207,966,655.69/x
  3. Step 3: Cross multiply
    136,374,536.25x = 207,966,655.69 × 207,966,655.69
  4. Step 4: Simplify right side
    136,374,536.25x = 43,250,129,877,843,176
  5. Step 5: Solve for x
    x = 43,250,129,877,843,176/136,374,536.25
  6. Step 6: Final answer
    x = 317,142,269.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.